1. verbaluri nawili
analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,
romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
1. Tavis mobezreba : abezari
(a) gadawyvetilebis miReba : meryevi
(b) ficis gatexa : moRalate
(g) msjavris dadeba : damnaSave
(d) Cxubis dawyeba : Semrigebeli
2. Tiva : zvini
(a) bali : muraba
(b) finjani : WurWeli
(g) Zafi : gorgali
(d) mtevani : venaxi
3. gzis abneva : kompasi
(a) Sejibri : jildo
(b) avadmyofoba : medikamenti
(g) ganZi : samalavi
(d) siCqare : spidometri
4. kompiuteri : tvini
(a) piloti : mfrinavi
(b) binokli : saTvale
(g) globusi : ruka
(d) roboti : muSa
2

2. 5. sirbili : daRla
(a) imedis dakargva : sasowarkveTa
(b) zaralis miyeneba : anazRaureba
(g) warmateba : gaxareba
(d) wakiTxva : dazepireba
6. mWadi : simindi
(a) Ciri : leRvi
(b) kakali : nigozi
(g) fiWa : Tafli
(d) Rvino : yurZeni
7. zRurbli : saxli
(a) ferdobi : klde
(b) ru : mdinare
(g) napiri : xmeleTi
(d) wvima : Rrubeli
8. Wraqi : naTura
(a) faetoni : avtomanqana
(b) skivri : CanTa
(g) sareceli : sawoli
(d) qoxi : karavi
3

3. winadadebebis Sevseba
am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa
gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.
erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.
savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis
nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is
varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis
gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.
9. samiwaTmoqmedo axalSenebis daarseba berZnebma upiratesad _____ , sadac
adgilobrivi mosaxleoba _____ socialur-ekonomikuri ganviTarebis
TvalsazrisiT da, _____ mosul berZnebs. xolo iq, sadac arsebobda socialur-
ekonomikuri ganviTarebis TvalsazrisiT dawinaurebuli sazogadoeba, _____ .
(a) iq SeZles / jer kidev susti iyo / Sesabamisad, winaaRmdegobas ver uwevda /
berZnuli kolonizacia did winaaRmdegobas waawyda
(b) iq ver SeZles / sakmaod Zlieri iyo / Sesabamisad, winaaRmdegobas ver uwevda /
berZnul kolonizacias winaaRmdegoba ar Sexvedria
(g) iq SeZles / SedarebiT susti iyo / amis wyalobiT, winaaRmdegobas uwevda /
berZnul kolonizacias winaaRmdegoba ar Sexvedria
(d) iq ver SeZles / ukve sakmaod Zlieri iyo / amis gamo, winaaRmdegobas uwevda /
berZnuli kolonizacia did winaaRmdegobas waawyda
10. _____ sosos megobrebs axsovdaT, rom bavSvobaSi igi _____ , maT _____ ,
rom gazeTebSi sosos _____ moixseniebdnen.
(a) Tumca / arasodes gamoirCeoda musikaluri niWiT / gaukvirdaT / gamoCenil
musikosad
(b) vinaidan / yovelTvis Cumi da sityvaZunwi iyo / gaukvirdaT / gulCaTxrobil
filosofosad
(g) vinaidan / yovelTvis gamoirCeoda sazrianobiT / ar gahkvirvebiaT /
gonebagaxsnil, gamWriax adamianad
(d) Tumca / arasodes gamoirCeoda simamaciT / ar gahkvirvebiaT / gaubedav, meryev
adamianad
4

4. 11. daTba, dneba Tovli. adamiani _____ Tovlis dnobasa da siTbos, magram am or
TvalsaCino movlenas Soris arsebuli mizez_Sedegobrivi damokidebuleba _____ . es
mimarTeba fizikuri, aRqmadi _____ ; is mxolod ________ aris misawvdomi.
(a) aRiqvams / naTlad aRiqmeba / movlenaa / azrovnebisTvis
(b) aRiqvams / ver aRiqmeba / movlena ar aris / azrovnebisTvis
(g) ver aRiqvams / ver aRiqmeba / movlenaa / aRqmisTvis
(d) ver aRiqvams / naTlad aRiqmeba / movlena ar aris / aRqmisTvis
12. dapirispirebuli mxareebi konfliqtis dros gansakuTrebulad cdiloben
gamokveTon maT Soris arsebuli _____ , anu _____ . am dros _____ Tvisebebi
iqceva im Rirebulebad, romlisTvisac Tavs gawiraven.
(a) msgavseba / yuradReba ar gaamaxvilon gansxvavebaze / ganmasxvavebeli
(b) gansxvaveba / yuradReba ar gaamaxvilon msgavsebaze / ganmasxvavebeli
(g) msgavseba / yuradReba gaamaxvilon gansxvavebaze / saerTo
(d) gansxvaveba / yuradReba gaamaxvilon msgavsebaze / saerTo
13. bizantiis kultura SesaniSnavi iyo ara imiT, rom _____ formebsa da ideebs
_____ , aramed imiT, rom _____ .
(a) axal / warmoSobda, / mimarTavda Zveli ideebisa da formebis sistematizacias
(b) axal / ebrZoda / ewinaaRmdegeboda axali ideebisa da formebis aRmocenebas
(g) uZveles / ikvlevda / mimarTavda Zveli ideebisa da formebis Seswavla-
sistematizacias
(d) uZveles / gvacnobda / cdilobda miviwyebuli ideebisa da formebis dRis
sinaTleze gatanas
5

5. logika
am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa da
gamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT
SekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidan
airCieT Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva
naxazis formiT.
14. kviris kinoprogramis Sedgenisas telemayureblebma aseTi survilebi gamoTqves:
• deteqtivi aCvenon dilas an SuadRisas
• komedia aCvenon dilas an saRamos
• multfilmi aCvenon SuadRisas an saRamos
kinogadacemaTa Tanmimdevrobis romel variantSia gaTvaliswinebuli
telemayurebelTa samive survili?
(a) diliT _ deteqtivi, SuadRisas _ multfilmi, saRamos _ komedia
(b) diliT _ deteqtivi, SuadRisas _ komedia, saRamos _ multfilmi
(g) diliT _ multfilmi, SuadRisas _ komedia, saRamos _ deteqtivi
(d) diliT _ komedia, SuadRisas _ multfilmi, saRamos _ deteqtivi
15. moWadrakeTa saerTaSoriso turnirSi saqarTvelodan qalTa da vaJTa
axalgazrduli nakrebebi monawileobdnen. saqarTvelos qalTa nakrebma gacilebiT
ukeTesi Sedegi aCvena, vidre _ vaJTa nakrebma. aqedan gamomdinare, mwvrTnelebma
ivaraudes, rom:
qarTveli qalebi gacilebiT ukeTesi moWadrakeebi arian, vidre _ vaJebi.
qvemoT CamoTvlili debulebebidan romeli ayenebs eWvqveS am daskvnas?
(a) saqarTvelos vaJTa nakrebis Zlieri moTamaSeebi am dros imyofebodnen sxva
saerTaSoriso turnirze
(b) saqarTvelos qalTa nakrebma gasul wels amave turnirze ukeTesi Sedegi
aCvena, vidre _ vaJTa nakrebma
(g) vaJebTan SedarebiT, qalebi ufro xSirad acdenen Wadrakis mecadineobebs
(d) vaJebTan SedarebiT, qalebs ukeTesi akademiuri miRwevebi aqvT
6

6. 16. davuSvaT:
• yvela astronomi meocnebea
• cisferi varskvlavi mxolod italielma astronomebma SeniSnes
qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidan
aucileblad?
(a) yvela meocnebe astronomia
(b) mxolod zogierTi italielia meocnebe
(g) yvela, vinc cisferi varskvlavi SeniSna, meocnebea
(d) maTgan, vinc cisferi varskvlavi SeniSna, mxolod zogierTia italieli
17. davuSvaT:
• yvela is quCa, romelic moednis axlosaa, ganieria
• kafe SeiZleba iyos mxolod im quCebze, romlebic moednis axlosaa
qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebebidan aucileblad?
(a) yvela quCaze, romelic moednis axlosaa, aris kafe
(b) yvela quCa, romelzec aris kafe, ganieria
(g) arc erTi quCa, romelzec ar aris kafe, araa ganieri
(d) arc erTi quCa, romelic moednis axlos araa, araa ganieri
18. vTqvaT, tyuilia, rom xeze yvela vaSli mwifea.
qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebidan aucileblad?
(a) xeze arc erTi vaSli ar aris mkvaxe
(b) xeze arc erTi vaSli ar aris mwife
(g) xeze zogierTi vaSli maincaa mwife
(d) xeze zogierTi vaSli maincaa mkvaxe
7

7. wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT
(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi).
naturmorti mxatvrobis erT-erTi Janria. sityva "naturmorti" "mkvdar
bunebas" niSnavs. naturmorti asaxavs uZrav sagnebs: yvavilebs, xils, nanadirevs,
musikalur sakravebsa da nebismier sxva sagans. XIX saukunemde naturmortis
TiTqmis yvela avtoris mizani maqsimaluri realisturobis miRweva iyo. yvelaze
realisturi naturmortebi cnobilia "tromp l’ eis" saxeliT, rac qarTulad
"Tvalis motyuebas" niSnavs. es suraTebi iseT STabeWdilebas gviqmnis, TiTqos Cven
Tvalwin realuri sagnebia da ara suraTis brtyeli zedapiri.
naturmorti, rogorc Janri, antikur saberZneTsa da romSi iRebs dasabams,
sadac is mdidarTa saxlebis kedlebis mosarTavad gamoiyeneboda. erTi berZeni
mwerlis TqmiT, mxatvarma zevqsisma daxata yurZnis mtevani, romelic imdenad
hgavda namdvils, rom Citebi mis akenkvas cdilobdnen. magram zevqsiss parasiasma
ajoba. man iseTi farda daxata, rom zevqsisma misi gadaweva daapira. mogvianebiT,
Sua saukuneebsa da renesansis periodSi naturmortebi, ZiriTadad, didi
suraTebis nawils warmoadgenda. magaliTad, RvTismSobelTan erTad xSirad
gamoxatavdnen larnaks dumfarebiT, romlebic simbolurad umankoebas
ganasaxierebda. mxolod XVII saukuneSi iqca naturmorti damoukidebel Janrad.
am dros is gansakuTrebiT popularuli iyo holandiel mxatvarTa Soris,
romlebic TavianT tiloebze, Cveulebriv, asaxavdnen fufunebis sagnebs: vercxlis
WurWels, brolis fialebsa da Wrel Taigulebs. zogjer naturmortSi garkveuli
faruli azri iyo gadmocemuli. mxatvrebi xSirad iseT sagnebs gamoxatavdnen,
romelTac ama Tu im ideis warmoCena SeeZloT. magaliTad, wignebi niSnavda
codnas, musikaluri instrumentebi _ siamovnebas, xolo Tavis qala _ amqveyniuri
cxovrebis warmavlobas.
XIX saukunemde kritikosebi naturmortebs ar swyalobdnen. maT mxolod
ostatobis asamaRlebel saSualebad miiCnevdnen. isini fiqrobdnen, rom
naturmortis Seqmna ar saWiroebda mxatvrisgan arc fantaziis unars da arc
azrovnebas. XIX saukuneSi naturmortebi TandaTan scildeboda realobas.
mxatvrebma TavianTi grZnobebis, ganwyobilebis gamoxatvis mizniT eqsperimentebs
mihyves xeli. isini xSirad iseT sagnebs irCevdnen, romelTac maTTvis
gansakuTrebuli mniSvneloba hqonda, da iseT stilsa da ferebs iyenebdnen,
romlebic maT grZnobebs ufro metad Seefereboda, vidre _ realobas. frangi
mxatvris eduard manes TqmiT, "xilisa da yvavilebis meSveobiT mxatvars yvelafris
gamoxatva SeuZlia".
cnobili holandieli mxatvris, van gogis erT naxatze gamosaxulia skami.
skamze Cibuxi devs. oTaxis kuTxeSi mdgari yuTidan xaxvis mwvane Reroebi moCans,
rac bunebisa da ganaxlebis simboloa. mxatvris skami da Cibuxi _ es ubralo
nivTebi iseTive warmavali da miwieria, rogorc TviT adamiani. vinsent van gogis
es naturmorti erTgvari simboluri avtoportretia. sagnebi mis tiloebze
aisaxeba mxatvris sulieri mdgomareobis Sesabamisad. van gogi werda: "imis
nacvlad, rom zustad gamovsaxo is, rasac vxedav, ferebs Cemeburad viyeneb, raTa
ufro energiulad gamovxato sakuTari Tavi". mas miaCnda, rom ferebs
konkretuli emociuri faseuloba aqvs. yoveli feri misTvis sulieri gancdis
simbolo iyo. magaliTad, "mzesumzirebSi", romelic Tavis megobars, pol gogens,
miuZRvna, van gogma "urTierTharmoniuli" narinjisferi da yviTeli gamoiyena,
raTa Tavisi megobruli grZnobebi gamoexata.
8

8. 19. XIX saukunemde naturmortis avtorTa mizani iyo:
(a) damTvaliereblisTvis iseTi STabeWdilebis Seqmna, TiTqos tiloze "mkvdari
bunebaa" asaxuli
(b) yvavilebis, xilis, nanadirevis asaxviT mxatvrobis axali mimarTulebis Seqmna
(g) suraTis brtyel zedapirze uZrav da ara realur saganTa asaxva
(d) uZrav saganTa maqsimalurad realisturi asaxva
20. qvemoT CamoTvlilTagan romeli araa marTebuli, teqstis mixedviT?
(a) antikur saberZneTsa da romSi naturmorts dekoratiuli funqcia hqonda
(b) XVII saukunis holandieli mxatvrebi naturmortze xatavdnen imdroindeli
sazogadoebis materialuri keTildReobis amsaxvel sagnebs
(g) Sua saukuneebsa da renesansis periodSi naturmorti suraTis mxolod nawils
warmoadgenda, amasTanave, SeiZleboda mas garkveuli simboluri datvirTvac
hqonoda
(d) mxatvrebma mxolod XIX saukuneSi daiwyes naturmortis meSveobiT
ganyenebuli ideebis simbolurad gamosaxva
21. ra Seicvala naturmortis gaazrebaSi XIX saukunidan?
(a) naturmortebze gaCnda iseTi sagnebi, romlebic ufro Seesatyviseboda maT
avtorTa grZnobebs, ganwyobilebas, vidre _ sinamdviles
(b) mxatvrebma eqsperimentebs mihyves xeli: cdilobdnen garesinamdvilis Semecnebas
da mis asaxvas maqsimaluri realisturobiT
(g) kritikosebma naturmorti miiCnies mxolod ostatobis asamaRlebel, xatvis
teqnikis dasauflebel saSualebad
(d) kritikosebma daamkvidres azri: naturmortis Seqmnas ar sWirdeba aRqmulis
gaazreba an warmosaxvis gansakuTrebuli unari
22. van gogis erT-erT naturmortze gamoxatulia ubralo sagnebi (IV abzaci). am
naturmortis mixedviT, SeiZleba vivaraudoT, rom avtori ar iziarebda im
cxovrebiseul Rirebulebebs, romlebic asaxulia:
(a) Sua saukuneebisa da renesansis periodis naturmortebze
(b) XVII saukunis holandiel mxatvarTa naturmortebze
(g) frangi mxatvris eduard manes naturmortebze
(d) van gogisave naturmortze _ “mzesumzirebi”
9

9. 23. CamoTvlilTagan romel mxatvarTa namuSevrebs SeiZleba vuwodoT “tromp l’ ei”?
(a) zevqsisisa da parasiasis
(b) zevqsisisa da eduard manes
(g) van gogisa da parasiasis
(d) eduard manesa da pol gogenis
24. teqstSi moyvanilia ori mxatvris citata. ra aqvT saerTo maT avtorebs?
(a) isini umetesad urTierTharmoniuli ferebiT xatavdnen naturmortebs, raTa
SeeqmnaT simboluri avtoportretebi
(b) maTTvis ferebs konkretuli emociuri faseuloba hqonda, amitom iseT ferebs
iyenebdnen, romlebic obieqtur realobas Seesabameboda
(g) isini cdilobdnen grZnobis, ganwyobilebis, sulieri mdgomareobis gamoxatvas
usulo sagnebis meSveobiT
(d) tiloze isini gamosaxavdnen, ZiriTadad, ubralo nivTebs, amqveyniuri
cxovrebis warmavlobaze rom mieniSnebinaT
25. qvemoT warmodgenil winadadebebSi mokledaa Camoyalibebuli ama Tu im
abzacis Sinaarsi (maTi rigiTi nomeri, SesaZloa, ar emTxveodes teqstSi abzacebis
Tanmimdevrobas):
1. miTiTebulia Zireuli gardatexa am Janris gaazrebaSi
2. dazustebulia am Janris axleburi koncefcia erT-erTi mxatvris
Semoqmedebis safuZvelze
3. mimoxilulia epoqaTa mixedviT am Janris daniSnulebis cvla
4. ganmartebulia saxviTi xelovnebis erT-erTi Janris arsi
romel abzacebs Seesabameba es winadadebebi anu pasuxis variantebidan romelia
marTebuli?
(a) I abzaci _ 3, II abzaci _ 2, III abzaci _ 4, IV abzaci _ 1
(b) I abzaci _ 4, II abzaci _ 2, III abzaci _ 3, IV abzaci _ 1
(g) I abzaci _ 3, II abzaci _ 1, III abzaci _ 2, IV abzaci _ 4
(d) I abzaci _ 4, II abzaci _ 3, III abzaci _ 1, IV abzaci _ 2
10

10. analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,
romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
26. SemTxveviTi : kanonzomieri
(a) codvili : mimtevebeli
(b) ficxi : keTili
(g) bejiTi : gonieri
(d) Tavmdabali : ampartavani
27. nisli : gamWvirvale
(a) Tovli : Tbili
(b) gvirila : samkurnalo
(g) soko : nawvimari
(d) Sadrevani : xelovnuri
28. yvavili : Tafli
(a) qaRaldi : rveuli
(b) sabado : foladi
(g) fqvili : comi
(d) wvima : gube
29. proza : moTxroba
(a) scenari : speqtakli
(b) wigni : wignaki
(g) xili : msxali
(d) toti : rto
30. laCari : frTxili
(a) metiCara : pranWia
(b) Zunwi : xelmomWirne
(g) matyuara : mliqvneli
(d) mokrZalebuli : moridebuli
11

11. 31. baliSi : muTaqa
(a) fanjara : mina
(b) Zafi : matyli
(g) oqro : vercxli
(d) jami : WurWeli
32. jejili : puris yana
(a) fesvi : rto
(b) ekali : buCqi
(g) nergi : nayofi
(d) kvirti : foToli
33. kinoekrani : kinokamera
(a) TefSi : gazqura
(b) vitrina : maRazia
(g) sarke : gamosaxuleba
(d) isari : ciferblati
winadadebebis Sevseba
am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa
gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.
erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.
savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis
nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is
varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis
gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.
34. dro miT ufro swrafad mimdinared ganicdeba, mogonebaSi ki drois
monakveTi miT ufro xangrZlivad gveCveneba, rac ufro savse iyo igi sxvadasxva
gancdiT, da, _____ , drois monakveTi miT ufro _____ mimdinared ganicdeba da
mogonebebSi miT ufro _____ gveCveneba, rac ufro _____ STabeWdilebebi
miviReT maSin.
(a) analogiurad / swrafad / xangrZlivad / “carieli” iyo Cveni cnobiereba, rac
ufro naklebi
(b) analogiurad / swrafad / xangrZlivad / “savse” iyo Cveni cnobiereba, rac
ufro naklebi
(g) piriqiT / nela / xanmokled / “carieli” iyo Cveni cnobiereba, rac ufro
naklebi
(d) piriqiT / nela / xanmokled / “savse” iyo Cveni cnobiereba, rac ufro meti
12

12. 35 . A firmis mier gamoSvebuli saTamaSoebis fasi aseTi _____ rom ar
yofiliyo, maTze moTxovna _____ iqneboda, _____ , rom dRes momxmareblebi did
mniSvnelobas aniWeben saTamaSoebis xarisxs da fiqroben, rom nawarmis fasi ____
dakavSirebuli mis xarisxTan.
(a) maRali / gacilebiT meti / vinaidan cnobilia / pirdapirproporciuladaa
(b) dabali / gacilebiT meti / imitom / pirdapirproporciuladaa
(g) dabali / gacilebiT naklebi / miuxedavad imisa / ukuproporciuladaa
(d) maRali / gacilebiT naklebi / vinaidan cnobilia / ukuproporciuladaa
36. mas Semdeg, rac Tanamedrove azrovnebam yuradReba miaqcia ara marto imas,
rac sxvadasxva erovnebas _____ , aramed imasac, rac maT _____, anu im _____ ,
rac erovnebas erovnebad xdis, _____ msoflio moqalaqeobis erTferovan ideals.
(a) erTimeorisgan ganarCevs / erTmaneTisagan asxvavebs / zogadsa da saerTos /
safuZveli Caeyara
(b) erTimeores amsgavsebs / urTierTisgan asxvavebs / originalursa da
ganumeorebels / niadagi gamoecala
(g) erTimeores amsgavsebs / erTimeoresTan aaxloebs / zogadsa da saerTos /
niadagi gamoecala
(d) erTimeorisgan ganarCevs / erTimeores amsgavsebs / originalursa da
ganumeorebels / safuZveli Caeyara
37. “introspeqcia” laTinuri sityvaa da niSnavs “SigniT cqeras”, “retrospeqcia”
ki _ “ukan cqeras”. Sesabamisad, e.w. _____ TviTdakvirveba ase unda gavigoT:
subieqti akvirdeba ara _____ , aramed _____ .
(a) “retrospeqtuli” / TviT gancdas misi mimdinareobis dros / im kvals, romelsac
gancda tovebs cnobierebaSi
(b) “introspeqtuli” / TviT gancdas misi mimdinareobis dros / im kvals, romelsac
gancda tovebs cnobierebaSi
(g) “retrospeqtuli” / im kvals, romelsac gancda tovebs cnobierebaSi / TviT
gancdas misi mimdinareobis dros
(d) “introspeqtuli” / cnobierebaSi mimdinare gancdas / im gancdas, romelic
cnobierebaSi kvals tovebs
13

13. logika
am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa da
gamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT
SekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidan
airCieT Sesabamisi pasuxi.
zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva
naxazis formiT.
38. vTqvaT, diagramaze oTxkuTxedi aRniSnavs adamianTa simravles, marcxena wre
_ saxelmwifo moxeleTa simravles, xolo marjvena wre – arakeTilsindisier
adamianTa simravles. ricxvi 3 aRniSnavs orive wris saerTo nawils, 1 – marcxena
wris im nawils, romelic marjvena wris gareTaa moqceuli, 2 – marjvena wris im
nawils, romelic marcxena wris gareTaa, xolo 4 – oTxkuTxedis im nawils,
romelic orive wris gareT mdebareobs.
am ricxvebidan romliTaa aRniSnuli keTilsindisier saxelmwifo moxeleTa
simravle?
(a) 1
(b) 2
(g) 3
(d) 4
39. magidis irgvliv eqvsi bavSvi dgas _ sxvadasxva asakis gogonebi da biWebi,
feradi qudebiTa da qurTukebiT, xelSi burTebiT.
SeuZlebelia:
(a) yovel bavSvs ecvas imave feris qurTuki, ra feris qudic axuravs mis
gverdiT mdgoms
(b) yoveli gogona idges biWebs Soris, xolo yoveli biWi gogonebs Soris
(g) yovel bavSvs eWiros gansxvavebuli feris burTi
(d) yoveli bavSvi idges or masze ufros bavSvs Soris
14

14. 40. davuSvaT, arseboben adamianebi, romlebsac surT ganmartoebiT cxovreba.
• yvelas, visac surs ganmartoebiT cxovreba, uyvars poezia
• zogierT maTgans, vinc ganmartoebiT cxovrobs, ar uyvars poezia
qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidan
aucileblad?
(a) zogierTs, visac poezia uyvars, ar surs ganmartoebiT cxovreba
(b) ganmartoebiT cxovrobs mxolod is, visac surs ganmartoebiT cxovreba
(g) zogierTs, vinc ganmartoebiT cxovrobs, ar surs ganmartoebiT cxovreba
(d) ganmartoebiT cxovrobs mxolod is, visac uyvars poezia
41. A qalaqis policiis statistikuri monacemebis analizis safuZvelze gairkva,
rom 2005 wels, wina wlebTan SedarebiT, sagrZnoblad Semcirda Cadenil
danaSaulTa gamo sasjelaRsrulebiT dawesebulebebSi moxvedril adamianTa
raodenoba.
am monacemebze dayrdnobiT policiis xelmZRvanelobam gamoTqva varaudi, rom:
A qalaqSi gaumjobesda kriminogenuli situacia, anu Semcirda danaSaulTa
raodenoba.
qvemoT CamoTvlili faqtebidan romelma SeiZleba ganamtkicos policiis
xelmZRvanelTa es varaudi?
(a) 2005 wels garkveuli kategoriis danaSaulTa CadenisaTvis patimrobis nacvlad
dawesda pirobiTi sasjeli
(b) 2005 wels qalaqis policiis maRalkvalificiuri TanamSromlebi gamocdilebis
gaziarebis mizniT sxva qveyanaSi gagzavnes
(g) 2005 wels A qalaqis erT-erT gareubanSi aSenda axali sapatimro, romelSic
patimarTa nawili gadaiyvanes
(d) 2005 wels A qalaqis policiis TanamSromelTa profesiuli done iseTive
maRali iyo, rogoric _ wina wlebSi
15

15. wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT
(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi).
ukanaskneli sami-oTxi saukunis ganmavlobaSi mravali moazrovne
dabejiTebiT amtkicebda, rom adamiani samyaros Semecnebis unars mxolod
gamocdilebis meSveobiT iZens. es Sexeduleba axlac popularulia filosofosTa,
fsiqologTa da fiziologTa Soris. magram, albaT, saintereso iqneba imis
garkveva, yvela Cveni unari gamocdilebiTaa SeZenili, Tu zogierTi maTgani
memkvidreobiT gveZleva da gavarjiSebas ar saWiroebs.
ganvixiloT, magaliTad, mxedveloba. mxedvelobis meSveobiT Cven aRviqvamT
garemomcveli samyarodan miRebuli informaciis sam meoTxeds. ismis kiTxva,
dabadebisTanave sworad vafasebT vizualurad miRebul informacias Tu
TandaTanobiT vswavlobT mxedvelobis saSualebiT garesamyaros adekvaturad aRqmas?
Tvalis baduraze aRibeWdeba sagnis organzomilebiani gamosaxuleba, tvinis mier
am informaciis gadamuSavebis safuZvelze ki adamiani aRiqvams moculobas, siRrmes _
mesame ganzomilebas (sivrces). erTi SexedviT, es seriozul wvrTnas saWiroebs.
XVIII saukunis irlandieli filosofosi _ jorj berkli amtkicebda, rom
mxedvelobiTi aRqma garkveuli gavarjiSebis safuZvelze yalibdeba. im xnidan
moyolebuli, es Sexeduleba myarad damkvidrda specialistTa Soris.
berklis Tvalsazrisis Semowmeba mxolod meoce saukuneSi moxerxda. mTavari
sirTule aq is iyo, rom kvleva unda Catarebuliyo axaldabadebul arsebebze, manam,
sanam isini mxedvelobiT aRqmaSi gavarjiSebas SeZlebdnen. magram am asakSi bavSvebica
da cxovelTa naSierebic imdenad umweoni arian, rom bunebriv pirobebSi maT
qcevaze dakvirvebiT ver ganvsazRvravT, rogor aRiqvamen isini danaxuls. xolo
rodesac norCi arsebebi wamoizrdebian, ukve SeuZlebeli xdeba imis garkveva,
romeli mxedvelobiTi unari miiRes maT memkvidreobiT da romels daeuflnen. am
mdgomareobidan gamosavali martivia: axaldabadebul cocxal arsebebs unda
SevuqmnaT sagangebo (eqsperimentuli) pirobebi da ise SeviswavloT maTi qceva.
cdebi Caatares axalgamoCekil wiwilebze. maT nawils gamoCekisTanave gaukeTes
imgvari specialuri saTvaleebi, rom wiwilebs esa Tu is sagani ufro axlos
mdebare eCvenebodaT, vidre sinamdvileSi iyo. wiwilebma daiwyes marcvlebis kenkva.
"saTvaliani" wiwilebic bejiTad cdilobdnen akenkvas, magram _ uSedegod: isini
niskarts ver axvedrebdnen marcvlebs. maT mxolod xangrZlivi wvrTnis Sedegad
SeZles sakvebis akenkva.
sxva eqsperimentis dros axaldabadebuli batknebi, knutebi da wiwilebi
Tavs aridebdnen im adgilebs, sadac maT xelovnurad uqmnidnen siRrmis iluzias.
siRrmisa ar eSinodaT mxolod ixvis Wuksa da wylis kus. es bunebrivicaa, radgan
sxva SemTxvevaSi isini ver SeZlebdnen Rrma wyalSi Securvas. Seiswavles
axaldabadebuli bavSvebic. Cvilebs guliscema uxSirdebodaT, rodesac maT didi
simaRlidan qvemoT axedebdnen.
eqsperimentuli monacemebis safuZvelze mecnierebma daaskvnes, rom cocxal
arsebas dabadebisTanave aqvs sivrcis aRqmis garkveuli unari. rogorc Cans, tvini
memkvidreobiT iRebs erTgvar safuZvels, danarCens ki gamocdilebis meSveobiT
iTvisebs. magaliTad, kubis an piramidis sqematuri gamosaxulebis aRqma moculobiT
figurad (sxeulad) uTuod moiTxovs garkveuli mxedvelobiTi Cvevis SemuSavebas.
16

16. 42. romel Sexedulebas ugulebelyofdnen is moazrovneebi, romelTa Sesaxebac
saubaria pirvel abzacSi?
(a) adamianis SemecnebiTi unarebi gamocdilebis Sedegadaa SeZenili
(b) zogierTi SemecnebiTi unari genetikurad gadaecema Taobidan Taobas da
gavarjiSebas ar saWiroebs
(g) adamians memkvidreobiT ar eZleva arc erTi SemecnebiTi unari
(d) zogierTi SemecnebiTi unari memkvidreobiT ar gveZleva da gavarjiSebas
saWiroebs
43. teqstSi dasmuli problemis ganxilvisas saubaria upiratesad mxedvelobaze,
radgan (upasuxeT II abzacis mixedviT):
(a) mxedveloba SemecnebiTi unaria _ misi meSveobiT viRebT informacias
garesamyaros Sesaxeb
(b) mxedvelobis meSveobiT miRebuli vizualuri informaciis sami meoTxedi
garesamyaros garkveul nawils asaxavs
(g) mxedvelobis meSveobiT Cven TandaTan vswavlobT garesamyaros adekvaturad
aRqmas
(d) mxedvelobis meSveobiT dabadebisTanave adekvaturad aRviqvamT garesamyaros
44. teqstis avtoris TqmiT, vizualuri informaciis adekvaturad aRqma, erTi
SexedviT, seriozul wvrTnas saWiroebs, radgan:
(a) adamians aqvs saganTa organzomilebiani gamosaxulebebis aRqmis unari
(b) adamianis mier garesamyaros vizualuri aRqma orsafexuriani procesia
(g) Tvalis baduraze gamosaxulebebis aRbeWdva rTuli procesia
(d) tvins aqvs moculobis, siRrmis _ mesame ganzomilebis aRqmis Tandayolili
unari
45. eqsperimentebi, romlebic miznad isaxavda berklis Tvalsazrisis Semowmebas,
unda Catarebuliyo axaldabadebul arsebebze, radgan:
(a) bavSvebi, agreTve _ cxovelTa da frinvelTa naSierebi am asakSi umweoni arian
(b) mxolod am asakis cocxal arsebaTa qcevis SeswavliT SeiZleba gairkves,
romeli mxedvelobiTi unari miiRes maT memkvidreobiT
(g) cocxali arsebebi am asakSi sruliad ver axerxeben mxedvelobiT aRqmaSi
gavarjiSebas
(d) am asakis cocxali arsebebi imgvar pirobebSi imyofebian, rom SesaZlebelia
gansazRvra, rogor aRiqvamen isini danaxuls
17

17. 46. qvemoT CamoTvlilTagan romelSi aisaxeba srulad wiwilebze Catarebuli
cdebis Sedegebi?
(a) “saTvaliani” wiwilebi niskarts ver axvedrebdnen marcvlebs
(b) “saTvalian” wiwilebs esa Tu is sagani ufro axlos mdebare eCvenebodaT,
vidre sinamdvileSi iyo
(g) “saTvaliani” wiwilebi, mravali uSedego mcdelobis miuxedavad, mainc bejiTad
cdilobdnen marcvlebis akenkvas
(d) “saTvaliani” wiwilebi Tavdapirvelad uSedegod cdilobdnen marcvlebis
akenkvas, Tumca gavarjiSebis Sedegad es mainc SeZles
47. meSvide abzacSi dasaxelebul yovel cocxal arsebas aqvs Tandayolili
unari:
(a) Tavi aaridos adgilebs, sadac mas xelovnurad uqmnidnen siRrmis iluzias
(b) gamoavlinos fiziologiuri reaqcia simaRlidan qvemoT gadaxedvisas
(g) aRiqvas sivrcis samive ganzomileba
(d) gacuros Rrma wyalSi
48. meeqvse da meSvide abzacebSi aRwerili eqsperimentebis urTierTSedarebis
safuZvelze SeiZleba iTqvas, rom:
(a) meeqvse da meSvide abzacebSi aRwerili eqsperimentebis miznebi da procedura
gansxvavdeba erTmaneTisgan, miuxedavad amisa, maTi Sedegebi msgavsia
(b) meeqvse da meSvide abzacebSi aRwerili eqsperimentebis procedura msgavsia,
miuxedavad amisa, maTi Sedegebi gansxvavdeba erTmaneTisgan
(g) meeqvse abzacSi aRwerili eqsperimenti miznad isaxavs teqstSi miTiTebuli
Tvalsazrisebis Semowmebas, xolo meSvide abzacSi aRwerili eqsperimenti _ am
Tvalsazrisebis gamaqarwylebeli argumentebis moZiebas
(d) meeqvse abzacSi aRwerili eqsperimentis Sedegi SeiZleba CaiTvalos teqstSi
miTiTebuli ori Tvalsazrisis kompromisul argumentad, meSvide abzacSi
aRwerili eqsperimenti ki adasturebs mxolod erT-erT maTgans
49. ra mimarTebaa pirvelsa da bolo abzacebs Soris?
(a) bolo abzacSi Sejamebulia pirvel abzacSi warmodgenili Tvalsazrisebi
(b) bolo abzacSi ganzogadebulia pirvel abzacSi dasaxelebuli faqti
(g) bolo abzacSi gacemulia pasuxi pirvel abzacSi dasmul kiTxvaze
(d) bolo abzacSi warmodgenili daskvna gamomdinareobs pirvel abzacSi miTiTebuli
Tvalsazrisidan
18

18. 50. romeli qvemomoyvanili debuleba gamoxatavs teqstis mTavar saTqmels?
(a) yvela cocxal arsebas dabadebisTanave aqvs sivrcis aRqmis unari, romelsac
ucvlelad inarCunebs mTeli sicocxlis ganmavlobaSi
(b) yvela cocxal arsebas memkvidreobiT eZleva sivrcis aRqmis garkveuli unari,
romelic gamocdilebis meSveobiT viTardeba
(g) yvela cocxal arsebas memkvidreobiT eZleva sivrcis aRqmis unari, romlis
meSveobiTac is sqematur gamosaxulebebs moculobiT figurebad aRiqvams
(d) yvela cocxal arsebas dabadebisTanave aqvs sivrcis aRqmis garkveuli unari,
romlis safuZvels mxedvelobiTi Cvevebis SemuSaveba warmoadgens
19

19. Savi samuSaosaTvis
20

20. maTematikuri nawili
testis maTematikur nawilze muSaobisas gaiTvaliswineT:
• naxazebi, romlebic erTvis zogierT davalebas, araa Sesrulebuli davalebis
pirobaSi miTiTebuli zomebis zusti dacviT. amitom monakveTebis sigrZis an sxva
sidideebis Sesaxeb daskvnis gamotanisas nu daeyrdnobiT naxazis zomebs. yuradReba
gaamaxvileT davalebis pirobaze;
• Tu naxazze mocemuli swori xazis Sesaxeb amocanis pirobaSi damatebiT araferia
naTqvami, maSin unda CaTvaloT, rom es swori xazi _ wrfea an misi nawili;
• testSi gamoyenebulia ricxvTa Caweris mxolod aTobiTi poziciuri sistema.
maTematikuri aRniSvnebi da formulebi:
1. nuli arc dadebiTia da arc uaryofiTi; 10. samkuTxedi:
1 ar aris martivi ricxvi. • samkuTxedis kuTxeebis sidideTa
jami 180°-is tolia.
2. procenti: a ricxvis k% aris ;
n • piTagoras Teorema:
3. xarisxi: a = a · a · a · ...· a (n-jer) marTkuTxa samkuTxedis
an · am = an + m hipotenuzis sigrZis
kvadrati tolia kaTetebis
an : am = an – m
sigrZeTa kvadratebis jamis:
m
(a n ) = a n · m
AB2 = AC2 + BC2 (ix. naxazi).
4. proporcia: Tu , maSin ad = bc. • samkuTxedis farTobi
manZili
5. siCqare: siCqare = samkuTxedis gverdis sigrZisa da Sesabamisi
dro simaRlis namravlis naxevaris toli .
6. saSualo ariTmetikuli:
11. oTxkuTxedi:
monacemTa jami
monacemTa saSualo = • oTxkuTxedis kuTxeebis sidideTa
monacemTa raodenoba jamia 360°.
7. Semoklebuli gamravlebis formulebi:
• marTkuTxedis farTobi misi sigrZisa
(a+b)2 = a2 + 2ab + b2; da siganis namravlis tolia: S = ab.
(a - b)2 = a2 – 2ab + b2; • paralelogramis farTobi misi
gverdis sigrZisa da am gverdis Sesabamisi
(a + b)(a – b) = a2 – b2 .
simaRlis namravlis tolia: S = ah.
12. wre, wrewiri:
8. naxazze kuTxe SeiZleba
kuTxis gverdebs Soris • wrewiris sigrZe L misi
Casmuli patara rkaliT radiusis mixedviT gamoiTvleba
iyos moniSnuli, marTi formuliT: L = 2πr.
kuTxe ki _ patara π ricxvi measedis sizustiT 3,14-is tolia.
kvadratiT. • r radiusiani wris farTobi
Canaweri: ∠A aRniSnavs A gamoiTvleba formuliT: S = πr2.
kuTxis sidides.
13. marTkuTxa paralelepipedi:
9. paraleluri wrfeebi:
• marTkuTxa paralelepipedis
• ori paraleluri moculoba misi sigrZis, siganisa da
wrfis mesame wrfiT simaRlis namravlis tolia: V = abc;
gadakveTisas Siga jvaredina
• kubis SemTxvevaSi: a = b = c.
kuTxeebi tolia: α = β.
21

21. raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.
Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
51. 12 : (− 4 ) −9:3 (a) (b) (g) (d)
52. 6 54 (a) (b) (g) (d)
5 55
a<b<0 (a) (b) (g) (d)
53. 2
a 2
b
54. 297,2 − 1,007 52 · 6,009 (a) (b) (g) (d)
ABCD marTkuTxedis AB gverdis sigrZe metia BC
gverdis sigrZeze.
(a) (b) (g) (d)
55.
AB gverdiTa da AC
diagonaliT Sedgenili 40°
maxvili kuTxis sidide
22

22. x < 0
56. (a) (b) (g) (d)
5x 7x
2x = 7 – 3y, y>1
57. (a) (b) (g) (d)
x 2,2
mocemulia piramida, romelsac sul 8 wibo aqvs.
(a) (b) (g) (d)
58. am piramidis 5
wveroebis raodenoba
amocanebi
59. qvemoT mocemul gamosaxulebaTagan romlis mniSvnelobaa udidesi?
(a) 2,5 + 0 + 0 + 3,5
(b) 2,5 · 0 · 0 · 3,5
(g) (2,5 + 0) · (0 + 3,5)
(d) (2,5 + 0) · (0 · 3,5)
(e) 2,5 · 0 + 0 · 3,5
60. torti oTxad daWres, Semdeg erT-erTi naWeri daWres samad, am sami naWridan
erT-erTi ki _ orad.
tortis ramden naWers miiRebdnen sul?
(a) 5
(b) 6
(g) 7
(d) 8
(e) 9
23

23. 61. naxevari kilogramis meramdenedi nawilia 10 grami?
1
(a)
15
(b) 1
20
1
(g)
25
1
(d)
30
1
(e)
50
62. eqvskuTxedi dayofilia marTkuTxedad da kvadratad,
romelTa zomebi naxazzea miTiTebuli. ramdeni kvadra-
tuli santimetria eqvskuTxedis farTobi?
(a) 26
(b) 30
(g) 40
(d) 42
(e) 44
monacemTa analizi
qalaqis municipalitetis davalebiT sxvadasxva wlebSi gamoikvlies, qalaqis
mosaxleobis ra nawili sargeblobs kerZo transportiT an sazogadoebrivi
transportis ama Tu im saxeobiT (aqac da SekiTxvebSic saubaria imaze, ra
saxeobis transportiT sargeblobs mosaxleoba upiratesad). cxrilSi mocemulia,
1990-1996 wlebSi qalaqis mcxovrebTa ramdeni procenti sargeblobda kerZo
transportiT an sazogadoebrivi transportis Semdegi saxeobebiT: avtobusiT,
mikroavtobusiT, troleibusiT, tramvaiT Tu metropoliteniT.
sazogadoebrivi transporti
kerZo
transporti avtobusi mikroavtobusi troleibusi tramvai metropoliteni
1990 11 35 8 14 7 25
1991 9 36 8 14 6 27
1992 11 32 10 12 5 30
1993 17 28 15 10 4 26
1994 16 30 16 11 3 24
1995 14 32 12 13 3 26
1996 12 35 10 12 3 28
cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:
63. qalaqis mcxovrebTa ramdeni procenti mgzavrobda sazogadoebrivi
transportiT 1994 wels?
(a) 78
(b) 81
(g) 84
(d) 86
(e) 89
24

24. 64. romel wlebSi iyo im mcxovrebTa raodenoba, romlebic mikroavtobusiT
mgzavrobdnen, ufro meti, vidre maTi saerTo raodenoba, vinc troleibusiT an
tramvaiT mgzavrobda?
(a) 1990 da 1991 wlebSi
(b) 1991 da 1992 wlebSi
(g) 1992 da 1993 wlebSi
(d) 1993 da 1994 wlebSi
(e) 1994 da 1995 wlebSi
65. ramdenjer naklebi iyo im mcxovrebTa raodenoba, romlebic 1991 wels kerZo
transportiT sargeblobdnen, maT raodenobaze, vinc imave wels metropoliteniT
sargeblobda?
(a) 1,5-jer
(b) 2-jer
(g) 2,5-jer
(d) 3-jer
(e) 3,5-jer
66. qvemoT CamoTvlilTagan romeli daskvnaa marTebuli cxrilis mixedviT?
(a) qalaqis mcxovrebTa yvelaze didi wili kerZo transportiT sargeblobs
(b) im mcxovrebTa wili, romlebic avtobusiT sargeblobdnen, yovelwliurad
iklebda, xolo maTi, vinc mikroavtobusiT sargeblobda _ imatebda
(g) sazogadoebrivi transportis saxeobebidan avtobusiT an mikroavtobusiT
(erTad) yovel wels ufro meti mcxovrebi sargeblobda, vidre _
sazogadoebrivi transportis sxva danarCeni saxeobebiT (erTad)
(d) yovel wels qalaqis mcxovrebTa ufro meti raodenoba sargeblobda
metropoliteniT, vidre _ mikroavtobusiT an troleibusiT (erTad)
(e) yovel wels qalaqis mcxovrebTa ufro meti raodenoba sargeblobda
avtobusiT, vidre _ kerZo transportiT an troleibusiT (erTad)
amocanebi
67. ramdeniT Semcirdeba ricxvi 837076, Tu mis CanawerSi orive 7-ians SevcvliT
5-ianebiT?
(a) 4-iT
(b) 2000-iT
(g) 2020-iT
(d) 2 200-iT
(e) 2 220-iT
25

25. y −7 3 y +5
68. Tu = , maSin y + 6 =
17 17
(a) 0
(b) 1
(g) 2
(d) 3
(e) 4
69. tolferda samkuTxedis ferdis sigrZea 13 sm, xolo fuZeze daSvebuli
simaRle _ 12 sm. ramdeni santimetria am tolferda samkuTxedis fuZis sigrZe?
(a) 8
(b) 9
(g) 10
(d) 11
(e) 13
70. lia saswavleblad germaniaSi 22 marts a p r i l i
gaemgzavra. kviris romel dRes gaemgzavra orSabaTi 5 12 19 26
lia germaniaSi (naxazze mocemulia momdevno samSabaTi 6 13 20 27
oTxSabaTi 7 14 21 28
Tvis _ aprilis kalendari)? xuTSabaTi 1 8 15 22 29
(a) orSabaTs paraskevi 2 9 16 23 30
SabaTi 3 10 17 24
(b) samSabaTs kvira 4 11 18 25
(g) oTxSabaTs
(d) xuTSabaTs
(e) SabaTs
71. ricxvebidan: 25, 45, 50, 72 da 90 SearCieT iseTi ricxvi, romelze
2-jer naklebi ricxvi naturaluri ricxvis kvadratia da romelze 9-iT meti
ricxvic agreTve naturaluri ricxvis kvadratia.
(a) 25
(b) 45
(g) 50
(d) 72
(e) 90
26

26. 72. A-dan B qalaqSi matarebliT Casvla mxolod C qalaqis gavliTaa SesaZlebeli.
A qalaqidan B-sken gavida Cqari matarebeli, romlis siCqarea 70 km/sT, imave
dros C-dan B-sken gavida satvirTo matarebeli, romlis siCqarea 40 km/sT. Cqari
matarebeli wamoewia satvirTo matarebels moZraobis dawyebidan 3 saaTis Semdeg.
matareblebi Seuferxeblad, Sesvenebis gareSe moZraobdnen. ramdeni kilometria
rkinigzis sigrZe A da C qalaqebs Soris?
(a) 30
(b) 90
(g) 110
(d) 120
(e) 210
73. saerTo wveros mqone kvadratisa da tolgverda samkuT-
xedis gverdebiT Sedgenili kuTxeebidan erT-erTis sididea
135° (ix. naxazi). ramdeni gradusia α kuTxis sidide?
(a) 65°
(b) 70°
(g) 75°
(d) 80°
(e) 85°
74. Tornikem da aleqsandrem bankidan erTi wlis vadiT sesxi gamoitanes,
Tornikem _ 2400 lari, aleqsandrem ki _ 4000 lari. erTi wlis Semdeg TiToeul
maTgans bankisTvis ara marto sesxad aRebuli Tanxa, aramed damatebiT am Tanxis
erTi da igive nawili unda gadaexadaT. orivem droulad dafara sesxi
danamatianad. amisaTvis Tornikem 3000 lari Seitana bankSi. ramdeni lari
Seutania bankSi aleqsandres?
(a) 4200
(b) 4500
(g) 4800
(d) 5000
(e) 5200
75. rgolebSi iseTi ricxvebia Cawerili, rom
erT rgolSi Cawerili ricxvebis jami tolia
meore rgolSi Cawerili ricxvebis jamisa (ix.
naxazi). risi tolia a ?
(a) 4
(b) 5
(g) 6
(d) 7
(e) 8
27

27. raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.
Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
A qalaqis mcxovrebTa raodenoba 2-jer metia, vidre
_ B qalaqisa. wriul diagramebze miTiTebulia, am
qalaqebis mcxovrebTa ramden procents Seadgenen
bavSvebi, axalgazrdebi, Suaxnis adamianebi da
moxucebi.
76. (a) (b) (g) (d)
A qalaqSi mcxovreb B qalaqSi mcxovreb
axalgazrdaTa axalgazrdaTa
raodenoba raodenoba
klasSi sul 35 moswavlea. moswavleTa 3 nawili
5
77. gogonaa, xolo gogonaTa 2 nawili _ Savgvremania. (a) (b) (g) (d)
3
am klasSi Savgvreman 15
gogonaTa raodenoba
mimdevrobis yoveli wevri mis momdevno wevrze
2-iT naklebia.
78. b40 am mimdevrobis me-40 wevria, b20 _ me-20 wevri. (a) (b) (g) (d)
b40 − b20 36
28

28. tolujredebiani badis TiToe-
uli ujredis sigrZec da siga-
nec 1 sm-is tolia. gamuqebuli
oTxkuTxedis wveroebi am badis
79. kvanZebSi mdebareobs (ix. naxazi). (a) (b) (g) (d)
gamuqebuli oTxkuTxedis
farTobi 12 kv. sm
koncertze dasaswrebad moswavleebma parterisa
da iarusis bileTebi SeiZines. parteris TiToeul
bileTSi gadaixades 7 lari, xolo iarusis
TiToeul bileTSi _ 5 lari. bileTebis SesaZenad
80. moswavleebma sul 140 lari daxarjes. (a) (b) (g) (d)
SeZenili bileTebis
24
saerTo raodenoba
x da y nebismieri dadebiTi ricxvebia. Tu x ≠ y ,
maSin x ∗ y aRniSnavs am ricxvebs Soris umciress, (a) (b) (g) (d)
81.
xolo Tu x = y , maSin x ∗ y = x .
(x ∗ 7 ) + ( y ∗ 9 ) x + y +1
wrewirze mdebare B da C wertilebis SemaerTebeli
monakveTis sigrZea b. (a) (b) (g) (d)
82.
am wrewiris sigrZe 4b
29

29. amocanebi
83. gias yulabaSi mxolod 10-TeTriani da 20-TeTriani monetebi aqvs, sul _
16 lari. 10-TeTriani monetebis raodenoba 3-jer metia, vidre 20-TeTriani
monetebisa. sul ramdeni cali 20-TeTriani moneta aqvs gias?
(a) 35
(b) 32
(g) 30
(d) 28
(e) 25
84. sibrtyeze mocemulia marTkuTxa koordinatTa
sistema. am sibrtyeze mdebare AC monakveTi B
wertiliT or tol nawilad iyofa. B da C
wertilebis koordinatebi miTiTebulia naxazze.
A wertilis koordinatebi (a, b) =
(a) (4; 5)
(b) (4; 6)
(g) (5; 6)
(d) (5; 7)
(e) (6; 7)
85. RviniT savse kasri iwonida 400 kg-s. mas Semdeg, rac Rvinis mesamedi nawili
gadmoiRes, Rviniani kasri 290 kg-s iwonis. ramdeni kilogrami yofila carieli
kasris wona?
(a) 70
(b) 80
(g) 90
(d) 100
(e) 110
86. tyviis msrolelma turnirisTvis mosamzadeblad garkveuli raodenobis
vaznebi iyida. igi savarjiSod yoveldRiurad erTi da imave raodenobis vaznebs
xarjavda. varjiSis dawyebidan 15 dRis Semdeg mas darCenili hqonda 2800 vazna,
20 dRis Semdeg ki _ 800. sul ramdeni cali vazna uyidia tyviis msrolels?
(a) 2000
(b) 3600
(g) 5000
(d) 7200
(e) 8800
30

30. monacemTa analizi
cnobilia, rom adamianis fiziologiur sistemaTa umravlesobis qmediTunarianoba
maqsimums, anu 100%-s maSin aRwevs, roca adamiani 20 wlisaa. diagramaze
warmodgenilia, Tu rogor icvleba saSualod adamianis gulsisxlZarRvTa da
kunTovani sistemebis qmediTunarianoba procentulad 20-dan 80 wlamde asakSi.
mocemuli diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:
87. ramden procents Seadgens adamianis gulsisxlZarRvTa sistemis qmediT-
unarianoba 60 wlis asakSi?
(a) 90%
(b) 80%
(g) 75%
(d) 70%
(e) 65%
88. ramdenjeraa Semcirebuli kunTovani sistemis qmediTunarianoba 65 wlis
asakSi, 40 wlis asakTan SedarebiT?
(a) 3-jer
(b) 2.8-jer
(g) 2,3-jer
(d) 2-jer
(e) 1,5-jer
89. qvemoT CamoTvlili asakobrivi Sualedebidan romelSi mcirdeba kunTovani
sistemis qmediTunarianoba ufro metad, vidre gulsisxlZarRvTa sistemis
qmediTunarianoba?
(a) 20-30
(b) 20-40
(g) 25-35
(d) 30-40
(e) 40-55
31

31. 90. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli diagramis mixedviT?
(a) 40-dan 80-wlamde asakSi adamianis rogorc kunTovani, aseve gulsisxl-
ZarRvTa sistemis qmediTunarianoba ar icvleba
(b) 20-dan 50-wlamde asakSi adamianis gulsisxlZarRvTa sistemis
qmediTunarianoba jer iklebs, Semdeg ki _ imatebs
(g) 40-dan 80-wlamde asakSi adamianis kunTovani sistemis qmediTunarianoba
ufro metad mcirdeba, vidre gulsisxlZarRvTa sistemisa
(d) 20-dan 80-wlamde asakSi adamianis gulsisxlZarRvTa sistemis
qmediTunarianoba ufro metad mcirdeba, vidre kunTovani sistemisa
(e) 30-dan 60-wlamde asakSi adamianis gulsisxlZarRvTa sistemisa da
kunTovani sistemis qmediTunarianoba erTnairad icvleba
amocanebi
91. ricxvis 4-ze gayofisas miRebuli naSTi 3-is tolia. qvemoT CamoTvlilTagan
romlis toli ar SeiZleba iyos naSTi amave ricxvis 16-ze gayofisas?
(a) 3
(b) 5
(g) 7
(d) 11
(e) 15
92. daTo kafeSi sxvadasxva samuSaos asrulebs. SabaTobiT mas 20 lars uxdian,
kviraobiT _ 30 lars, sxva dReebSi ki _ 10 lars. maqsimum ramdeni lari
SeiZleba gamoimuSaos daTom kafeSi zedized 15 dRis ganmavlobaSi muSaobiT?
(a) 190
(b) 200
(g) 210
(d) 220
(e) 230
93. marTkuTxedi dayofilia oTx marTkuTxedad,
romelTagan erTis farTobi 4 m2-ia, meoris _ 7 m2,
mesamisa ki _ 12 m2 (ix. naxazi). ramdeni kvadratuli
metria meoTxe marTkuTxedis farTobi?
(a) 11
(b) 16
(g) 19
(d) 21
(e) 28
32

32. 94. firmam moiwvia frangulis an germanulis mcodne gogonebi. mowveuli
gogonebis 60%-ma icis franguli, 75%-ma ki _ germanuli, xolo 70-ma gogonam .
icis orive ena. sul ramdeni gogona mouwvevia firmas?
(a) 250
(b) 200
(g) 180
(d) 150
(e) 120
95. x aris 3-is jeradi kenti ricxvi, y ki _ 4-is jeradi ricxvi. Semdegi
gamosaxulebebidan romlis mniSvnelobaa 6-is jeradi?
(a) 5x + y
(b) x + 3y
(g) 3(x + 2) + y
(d) 7(x + y)
(e) x(y + 2)
96. sandros erTnairi xis kubebi hqonda,
ramdenime maTgani man Suaze gaxerxa. am naxevrebisa
da kubebisagan sandrom saxlismagvari sxeuli
aawyo (ix. naxazi), ise, rom araferi darCenia.
sul ramdeni kubi hqonia sandros Tavdapirvelad?
(a) 10
(b) 12
(g) 13
(d) 14
(e) 15
97. ditos erTnairi burTebi da erTnairi kubebi aqvs. 9 burTi da 3 kubi
imdenives iwonis, ramdensac 2 burTi da 8 kubi. ramdeni kubis wona eqneba
28 burTs erTad?
(a) 12
(b) 14
(g) 16
(d) 18
(e) 20
33

33. 98. ansamblSi 5 momReralia. sami maTganis asaki 25 welze metia da 30-ze naklebi,
2 maTganisa ki _ 35 welze meti da 40 welze naklebi. CamoTvlilTagan romeli
SeiZleba iyos am ansamblis momReralTa asakebis saSualo?
(a) 26 weli
(b) 27 weli
(g) 29 weli
(d) 31 weli
(e) 34 weli
99. gadiddeba Tu Semcirdeba ori ricxvis namravlis mniSvneloba da ramdenjer,
3
Tu pirvel Tanamamravls gavadidebT misive nawiliT, xolo meore Tanamamravls
5
3
SevamcirebT misive nawiliT?
5
(a) Semcirdeba 25 -jer
9
(b) Semcirdeba 25 -jer
16
(g) gadiddeba 25 -jer
9
(d) gadiddeba 25 -jer
16
(e) arc gadiddeba, arc Semcirdeba
100. monakveTebidan, romelTa sigrZeebia 2 sm, 3 sm, 4 sm, 10 sm, 11 sm da 12 sm,
unda airCes romelime sami da daixazos iseTi samkuTxedi, romlis gverdebi
arCeuli monakveTebis toli iqneba.
sul ramdeni aseTi erTmaneTis aratoli samkuTxedis daxazvaa SesaZlebeli?
(a) 2
(b) 6
(g) 8
(d) 10
(e) 12
34